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Impossible to answer without knowing, bullet weight and muzzle velocity.

Ignoring air resistance (which will allow the bullet to go even farther on the moon than on the earth) the critical factor is how long the bullet takes to reach the ground after leaving the muzzle. For the same horizontally firing height above the surface, the time varies as 1/squarerootofG where G is the acceleration due to gravity. (For a falling object, distance falling S = 1/2 G.t^2)

Now G is 1/6 of its value on earth, so it will travel 2.45 times farther on the moon than on earth. More if you consider air resistance.

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